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Journal of Soviet Mathematics

, Volume 55, Issue 4, pp 1892–1928 | Cite as

Quadratic maps and smooth vector-valued functions: Euler characteristics of level sets

  • A. A. Agrachev
  • R. V. Gamkrelidze
Article

Abstract

Quadratic maps of RN into RK are studied. Explicit expressions are obtained for the Euler characteristics of level sets of such maps. The Euler characteristics of level sets of smooth vector-valued functions are also evaluated in terms of their values at critical points.

Keywords

Explicit Expression Euler Characteristic 
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Literature cited

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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • A. A. Agrachev
  • R. V. Gamkrelidze

There are no affiliations available

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